Functions, Domain and Range

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What does it mean for a mapping diagram to represent a function?

Back

In a mapping diagram, each input must be connected to exactly one output for it to represent a function.

Front

What is the output of the function f(x) = 3x + 2 when x = 4?

Back

f(4) = 3(4) + 2 = 14.

Front

What is the output of the function f(x) = x^2 when x = -3?

Back

f(-3) = (-3)^2 = 9.

Front

If f(x) = 2x + 1, what is f(0)?

Back

f(0) = 2(0) + 1 = 1.

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0.

Front

What is the range of the function f(x) = x^2?

Back

The range is all real numbers greater than or equal to 0.